MA19.8.30

Mathematics (2019) Grade(s): 8

MA19.8.30
Use formulas to calculate the volumes of three-dimensional figures (cylinders, cones, and spheres) to solve real-world problems.

Unpacked Content

Knowledge

Students know:

The volume formulas for cylinders, cones, and spheres.
That 3.14 is an approximation of pi commonly used in these volume formulas.
That composite three dimensional objects in the real-world can be created by combining cylinders, cones, and spheres in part or whole.

Skills

Students are able to:

Calculate the volume of cones, cylinders, and spheres given in real-world contexts. often times approximating solutions to a specified decimal place.
Identify the components of a composite figure as being portions of or whole cylinders, cones, and spheres.
Combine the results of calculations to find volume for real-world composite figures.

Understanding

Students understand that:

the application of volume formulas and the relationship between these three formulas can be used in combinations when determining solutions involving real-world cylinders, cones, and spheres.

Vocabulary

Radius
Pi
Volume
Cylinder
Cone
Sphere

Aligned Learning Resources

Meatballs: Volumes of Spheres and Cylinders

Square-Wheeled Tricycle: Radius and Circumference

Combining Like Terms (Part2)

Different Options for Solving One Equation

Displaying Data | The Electric Company Math Activities

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